There were 4 times as many girls as boys at a performance. After 36 boys left, the number of girls was 20 times the number of the remaining boys. How many people attended the performance?
| |
Girls |
Boys |
Total |
| Before |
4x5 =
20 u |
1x5 =
5 u |
25 u |
| Change |
|
- 36 |
|
| After |
20 u |
1 u |
|
The number of girls at first and in the end remains unchanged. Make the number of girls the same. LCM of 4 and 20 is 20.
Number of boys who left
= 5 u - 1 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Number of people who attended the performance
= 20 u + 5 u
= 25 u
= 25 x 9
= 225
Answer(s): 225
